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Finding the Fourth Proportional to 5,239.30, 7,859.40 and 1,728.26

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Solution

The fourth proportional to 5,239.30, 7,859.40 and 1,728.26 is: 2,592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.30 : 7,859.40 = 1,728.26 : x
  2. Step 2: Convert to fraction form
    5,239.30/7,859.40 = 1,728.26/x
  3. Step 3: Cross multiply
    5,239.30x = 7,859.40 × 1,728.26
  4. Step 4: Simplify right side
    5,239.30x = 13,583,086.64
  5. Step 5: Solve for x
    x = 13,583,086.64/5,239.30
  6. Step 6: Final answer
    x = 2,592.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.